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Predicting PDF tails in systems with logarithmic non-linearity

Anderson, J. and Kim, E.J. (2010) Predicting PDF tails in systems with logarithmic non-linearity. Physics Letters A, 374 (15-16). pp. 1621-1624. ISSN 0375-9601

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Abstract

The probability density function (PDF) of flux R is computed in systems with logarithmic non-linearity using a model non-linear dynamical equation. The PDF tails of the first moment flux are analytically predicted to be power law. These PDF tails are shown to be broader than a Gaussian distribution and are a manifestation of intermittency caused by short lived coherent structures (instantons). (c) 2010 Elsevier B.V. All rights reserved.

Item Type: Article
Copyright, Publisher and Additional Information: © 2010 Elsevier. This is an author produced version of a paper subsequently published in Physics Letters A. Uploaded in accordance with the publisher's self-archiving policy.
Keywords: Probability-Distribution Function; Drift-Wave Turbulence; Schrodinger-Equation; Edge Turbulence; Plasma Edge; Transport; Mechanics; Model; Intermittency; Instantons
Academic Units: The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield)
Depositing User: Miss Anthea Tucker
Date Deposited: 17 May 2010 08:31
Last Modified: 08 Feb 2013 17:00
Published Version: http://dx.doi.org/10.1016/j.physleta.2010.02.017
Status: Published
Publisher: Elsevier
Identification Number: 10.1016/j.physleta.2010.02.017
URI: http://eprints.whiterose.ac.uk/id/eprint/10828

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